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Finding the Third Proportional to 665,492 and 1,447,584

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Solution

The third proportional to 665,492 and 1,447,584 is: 3,148,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,492 : 1,447,584 = 1,447,584 : x
  2. Step 2: Convert to fraction form
    665,492/1,447,584 = 1,447,584/x
  3. Step 3: Cross multiply
    665,492x = 1,447,584 × 1,447,584
  4. Step 4: Simplify right side
    665,492x = 2,095,499,437,056
  5. Step 5: Solve for x
    x = 2,095,499,437,056/665,492
  6. Step 6: Final answer
    x = 3,148,797.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.